Fluid Relation Cross Scans

Hydrostatic Depth Three-Row Scan

A hydrostatic-depth scan varies depth across three rows, showing how the pressure P = rho * g * h climbs linearly with depth in a static fluid. The arithmetic is exact only for the stated depths, densities, and rows in the ideal hydrostatic model. Real fluids add viscosity, turbulence, compressibility, geometry tolerance, calibration, and measurement uncertainty.

Depth changes pressure while density and gravity stay fixed. Exact arithmetic here means exact results for the stated model inputs; measured inputs still carry uncertainty and significant-figure limits.

highlighted = computed this step

Two metres gives forty pascals

Density 2 and training gravity 10 stay fixed; depth 2 metres gives pressure 40 pascals.

ΔP=2×10×2=40\Delta P=2\times10\times2=40
Hydrostatic scan rowDepth and pressure labels are source-bound.liquiddepthpressurerho=2 kg/m^3g=10 m/s^2h=2 mdP=40 Pa

Double depth doubles the pressure

Density 2 and training gravity 10 stay fixed; depth 4 metres gives pressure 80 pascals.

ΔP=2×10×4=80\Delta P=2\times10\times4=80
Hydrostatic scan rowDepth and pressure labels are source-bound.liquiddepthpressurerho=2 kg/m^3g=10 m/s^2h=4 mdP=80 Pa

Five metres closes at one hundred pascals

Density 2 and training gravity 10 stay fixed; depth 5 metres gives pressure 100 pascals.

ΔP=2×10×5=100\Delta P=2\times10\times5=100
Hydrostatic scan rowDepth and pressure labels are source-bound.liquiddepthpressurerho=2 kg/m^3g=10 m/s^2h=5 mdP=100 Pa